10752648000 has 112 divisors (see below), whose sum is σ = 35505322944. Its totient is φ = 2867366400.

The previous prime is 10752647999. The next prime is 10752648007. The reversal of 10752648000 is 84625701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10752648007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200014 + ... + 248013.

It is an arithmetic number, because the mean of its divisors is an integer number (317011812).

Almost surely, 2^10752648000 is an apocalyptic number.

10752648000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10752648000 is an abundant number, since it is smaller than the sum of its proper divisors (24752674944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10752648000 is an equidigital number, since it uses as much as digits as its factorization.

10752648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448057 (or 448037 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10752648000 in words is "ten billion, seven hundred fifty-two million, six hundred forty-eight thousand".